Question

Calculate $\iint_S (\nabla \times F)\cdot dS= 0$ if $F= i+j+k$ where $\omega$ is the unit cube.

score 76 · Answer 1 · 2026-04-16 07:36:47

76

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Calculate $\iint_S (\nabla \times F)\cdot dS= 0$ if $F= i+j+k$ where $\omega$ is the unit cube.

Published on 16 Apr 2026 - 7:36

score 177 · Answer 2 · 2026-04-16 15:11:09

177

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Is $-\nabla f(x_1...x_n)$ the steepest descending direction of $f$?

Published on 16 Apr 2026 - 15:11

score 87 · Answer 3 · 2026-04-15 04:19:31

87

Views

Parametrisation of this triangle

Published on 15 Apr 2026 - 4:19

score 52 · Answer 4 · 2026-04-15 10:56:33

52

Views

Why is partial $\dfrac{\partial \sin y(t)}{\partial t} = y'(t)\cos t$ when $\dfrac{\partial\sin y(t)}{\partial y} = 0\text{ ?}$

Published on 15 Apr 2026 - 10:56

score 190 · Answer 5 · 2026-04-23 07:55:15

190

Views

Apostol's Calculus Vol 2, Chapter 10.20, Exercise 7

Published on 23 Apr 2026 - 7:55

score 101 · Answer 6 · 2026-04-19 20:38:46

101

Views

Computing a divergent integral $\iiint r^5sin\theta cos\theta$

Published on 19 Apr 2026 - 20:38

score 95 · Answer 7 · 2026-04-10 22:42:48

95

Views

If a two-variable function under some constraint has only one critical point, can I classify the point as an extrema (global)?

Published on 10 Apr 2026 - 22:42

score 1.3k · Answer 8 · 2026-03-25 09:44:47

1.3k

Views

Implicit Function Theorem on 3 variables

Published on 25 Mar 2026 - 9:44

score 619 · Answer 9 · 2026-04-14 13:31:58

619

Views

The points of intersection with the coordinate planes.

Published on 14 Apr 2026 - 13:31

score 129 · Answer 10 · 2026-04-14 17:49:06

129

Views

Reasoning for the function $f(x,y)=x^{2}e^{y}$ is differentiable on $\mathbb{R}^{2}$.

Published on 14 Apr 2026 - 17:49

score 2.5k · Answer 11 · 2026-04-15 19:19:56

2.5k

Views

Why is the Jacobian determinant of a map the reciprocal of the Jacobian determinant of the inverse map?

Published on 15 Apr 2026 - 19:19

score 67 · Answer 12 · 2026-04-13 01:17:47

67

Views

Finding the area between 4 curves by changing my basis to create a square and integrating

Published on 13 Apr 2026 - 1:17

score 98 · Answer 13 · 2026-04-17 08:08:21

98

Views

Evaluating $\lim_{(x,y) \to (\pi,0)} {\cos(x) + 1 + {y^2/2} \over (x - \pi)^2 + y^2}$

Published on 17 Apr 2026 - 8:08

score 321 · Answer 14 · 2026-04-11 03:47:07

321

Views

When the derivatives are never zero, is the maximum of a function equal to $\infty$?

Published on 11 Apr 2026 - 3:47

score 400 · Answer 15 · 2026-04-13 09:50:58

400

Views

Finding the absolute maximum and minimum of a function in a disk?

Published on 13 Apr 2026 - 9:50

List Question

Calculate $\iint_S (\nabla \times F)\cdot dS= 0$ if $F= i+j+k$ where $\omega$ is the unit cube.

Is $-\nabla f(x_1...x_n)$ the steepest descending direction of $f$?

Parametrisation of this triangle

Why is partial $\dfrac{\partial \sin y(t)}{\partial t} = y'(t)\cos t$ when $\dfrac{\partial\sin y(t)}{\partial y} = 0\text{ ?}$

Apostol's Calculus Vol 2, Chapter 10.20, Exercise 7

Computing a divergent integral $\iiint r^5sin\theta cos\theta$

If a two-variable function under some constraint has only one critical point, can I classify the point as an extrema (global)?

Implicit Function Theorem on 3 variables

The points of intersection with the coordinate planes.

Reasoning for the function $f(x,y)=x^{2}e^{y}$ is differentiable on $\mathbb{R}^{2}$.

Why is the Jacobian determinant of a map the reciprocal of the Jacobian determinant of the inverse map?

Finding the area between 4 curves by changing my basis to create a square and integrating

Evaluating $\lim_{(x,y) \to (\pi,0)} {\cos(x) + 1 + {y^2/2} \over (x - \pi)^2 + y^2}$

When the derivatives are never zero, is the maximum of a function equal to $\infty$?

Finding the absolute maximum and minimum of a function in a disk?

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